Topological defect lines and renormalization group flows in two dimensions
A bstract We consider topological defect lines (TDLs) in two-dimensional conformal field
theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs …
theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs …
from via Holographic Tensor Network, and Precision Discretization of
We show that the path integral of conformal field theories in D dimensions (CFT D) can be
constructed by solving for eigenstates of a renormalization group (RG) operator following …
constructed by solving for eigenstates of a renormalization group (RG) operator following …
Topological defect lines in two dimensional fermionic CFTs
We consider topological defect lines (TDLs) in two-dimensional fermionic conformal field
theories (CFTs). Besides inheriting all the properties of TDLs in bosonic CFTs, TDLs in …
theories (CFTs). Besides inheriting all the properties of TDLs in bosonic CFTs, TDLs in …
Classification of topological phases with finite internal symmetries in all dimensions
A bstract We develop a mathematical theory of symmetry protected trivial (SPT) orders and
anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different …
anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different …
Lorentzian dynamics and factorization beyond rationality
A bstract We investigate the emergence of topological defect lines in the conformal Regge
limit of two-dimensional conformal field theory. We explain how a local operator can be …
limit of two-dimensional conformal field theory. We explain how a local operator can be …
A mathematical theory of gapless edges of 2d topological orders. Part I
L Kong, H Zheng - Journal of High Energy Physics, 2020 - Springer
A bstract This is the first part of a two-part work on a unified mathematical theory of gapped
and gapless edges of 2d topological orders. We analyze all the possible observables on the …
and gapless edges of 2d topological orders. We analyze all the possible observables on the …
Categories of quantum liquids I
L Kong, H Zheng - Journal of High Energy Physics, 2022 - Springer
A bstract We develop a mathematical theory of separable higher categories based on
Gaiotto and Johnson-Freyd's work on condensation completion. Based on this theory, we …
Gaiotto and Johnson-Freyd's work on condensation completion. Based on this theory, we …
[HTML][HTML] A mathematical theory of gapless edges of 2d topological orders. Part II
L Kong, H Zheng - Nuclear Physics B, 2021 - Elsevier
This is the second part of a two-part work on the unified mathematical theory of gapped and
gapless edges of 2+ 1D topological orders. In Part I, we have developed the mathematical …
gapless edges of 2+ 1D topological orders. In Part I, we have developed the mathematical …
Braided Picard groups and graded extensions of braided tensor categories
A Davydov, D Nikshych - Selecta Mathematica, 2021 - Springer
We classify various types of graded extensions of a finite braided tensor category BB in
terms of its 2-categorical Picard groups. In particular, we prove that braided extensions of BB …
terms of its 2-categorical Picard groups. In particular, we prove that braided extensions of BB …
Categories of quantum liquids II
L Kong, H Zheng - Communications in Mathematical Physics, 2024 - Springer
We continue to develop the theory of separable higher categories, including center functors,
higher centralizers, modular extensions and group theoretical higher fusion categories …
higher centralizers, modular extensions and group theoretical higher fusion categories …